Abstract
To study the time evolution of a molecular state in an ultra-fast chemical reaction, the use of shorter pulses with higher photon energy and narrower bandwidth for both pump and probe is necessary. However, quick and precise measurement of their detailed time structures is a challenge. Over the last decade, great efforts have been made to measure an attosecond extreme ultraviolet (XUV) pulse. To date, several methods have been developed to measure the pulse duration and completely reconstruct it. The attosecond spectral phase interferometry for direct electric field reconstruction (SPIDER) and attosecond frequency-resolved optical gating (FROG) techniques are often used. However, these methods use state-of-the-art experimental set-ups and complicated data analysis procedures. To develop attosecond metrology for practical use (e.g. timing, measurement, evaluation, calibration, optimization, pumping, probing), we propose a quick and analytical method to precisely observe an attosecond XUV pulse with laser-assisted photo-ionization. The method is based on determining the laser-related phase of each streaked electron and using a transfer equation for one-step pulse reconstruction without any time-resolved measurements, iterative calculations, or data fitting procedures. Temporal errors of the pulse reconstruction are calculated from the XUV bandwidth. Because the transfer equation establishes a direct connection between the XUV pulse properties, the crucial laser parameters (peak intensity, phase, carrier envelope phase), the atomic ionization potential, and the measured photoelectron energy spectrum, we can use it to study any one of these properties from other known information and probe the dynamic processes of an ultra-fast reaction.
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References
Drescher M, Hentschel M, Kienberger R, et al. X-ray pulses approaching the attosecond frontier. Science, 2001, 291: 1923–1927
Hentschel M, Kienberger R, Spielmann Ch, et al. Attosecond metrology. Nature, 2001, 414: 509–513
Drescher M, Hentschel M, Kienberger R, et al. Time-resolved atomic inner-shell spectroscopy. Nature, 2002, 419: 803–807
Kienberger R, Goulielmakies E, Uiberacker M, et al. Atomic transient recorder. Nature, 2004, 427: 817–821
Goulielmakis E, Uiberacker M, Kienberger R, et al. Direct measurement of light waves. Science, 2004, 305: 1267–1269
Sansone G, Benedetti E, Calegari F, et al. Isolated single-cycle attosecond pulses. Science, 2006, 314: 443–446
Spielmann Ch, Burnett N H. Generation of coherent X-rays in the water window using 5-femtosecond laser pulses. Science, 1997, 278: 661–664
Schnürer M, Spielmann Ch, Wobrauschek P, et al. Coherent 0.5-keV X-ray emission from helium driven by a sub-10-fs laser. Phys Rev Lett, 1998, 80: 3236–3239
Kienberger R, Goulielmakis E, Uiberacker M, et al. Single sub-fs soft-X-ray pulses: Generation and measurement with the atomic transient recorder. J Mod Opt, 2005, 52: 261–275
Mairesse Y, Bohan A D, Frasinski L J, et al. Optimization of attosecond pulse generation. Phys Rev Lett, 2004, 93: 163901–163904
Gaarde M B, Schafer K J. Generating single attosecond pulses via spatial filtering. Opt Lett, 2006, 31: 3188–3190
Schiessl K, Ishikawa K L, Persson E, et al. Generating single attosecond pulses via spatial filtering. Phys Rev Lett, 2007, 99: 2539031–2939034
Goulielmakis E, Schultze M, Hofstetter M, et al. Single-cycle nonlinear optics. Science, 2008, 320: 1614–1617
Tzallas P, Charalambidis D, Papadogiannis N A, et al. Direct observation of attosecond light bunching. Nature, 2003, 426: 267–271
Quéré F, Itatani J, Yudin G L, et al. Attosecond spectral shearing interferometry. Phys Rev Lett, 2003, 90: 0739021–0739024
Kobayashi Y, Sekikawa T, Nabekawa Y, et al. 27-fs extreme ultraviolet pulse generation by high-order harmonics. Opt Lett, 1998, 23: 64–66
Sekikawa T, Ohno T, Yamazaki T, et al. Pulse compression of a high-order harmonic by compensating the atomic dipole phase. Phys Rev Lett, 1999, 83: 2564–2567
Norin J, Mauritsson J, Johansson A, et al. Time-frequency characterization of femtosecond extreme ultraviolet pulses. Phys Rev Lett, 2002, 88: 193901–193904
Mauritsson J, Johnsson P, López-Martens R, et al. Measurement and control of the frequency chirp rate of high-order harmonic pulses. Phys Rev A, 2004, 70: 021801–021804 (R)
Mairesse Y, Quéré F. Frequency-resolved optical gating for complete reconstruction of attosecond bursts. Phys Rev A, 2005, 71: 011401–011404 (R)
Quéré F, Mairesse Y, Itatani J. Temporal characterization of attosecond XUV fields. J Mod Opt, 2005, 52: 339–360
Mauritsson J, Johnsson P, López-Martens R, et al. Probing temporal aspects of high-order harmonic pulses via multi-colour, multi-photon ionization processes. J Phys B, 2005, 38: 2265–2278
Bandrauk A D, Chelkowski S, Shon N H. Measuring the electric field of few-cycle laser pulses by attosecond cross correlation. Phys Rev Lett, 2002, 89: 2839031–2839034
Bandrauk A D, Chelkowski S, Shon N H. How to measure the duration of subfemtosecond xuv laser pulses using asymmetric photoionization. Phys Rev A, 2003, 68: 041802–041805(R)
Constant E, Taranukhin V D, Stolow A, et al. Methods for the measurement of the duration of high-harmonic pulses. Phys Rev A, 1997, 56: 3870–3878
Scrinzi A, Geissler M, Brabec T. Attosecond cross correlation technique. Phys Rev Lett, 2001, 86: 412–415
Itatani J, Quéré F, Yudin G L, et al. Attosecond spectral shearing interferometry. Phys Rev Lett, 2002, 88: 1739031–1739034
Kitzler M, Milosevic N, Scrinzi A, et al. Quantum theory of attosecond XUV pulse measurement by laser dressed photoionization. Phys Rev Lett, 2002, 88: 1739041–1739044
Scrinzi A, Ivanov M Yu, Kienberger R, et al. Attosecond physics. J Phys B: At Mol Opt Phys, 2006, 39: R1–R37
Cavalieri A L, Müller N, Uphues Th, et al. Attosecond spectroscopy in condensed matter. Nature, 2007, 449: 1029–1032
Yakovlev V S, Bammer F, Scrinzi A. Attosecond streaking measurements. J Mod Opt, 2005, 52: 395–410
Kosik E M, Corner L, Wyatt A S, et al. Complete characterization of attosecond pulses. J Mod Opt, 2005, 52: 361–378
Nisoli M, Sansoni G. New frontiers in attosecond science. Prog Quant Electr, 2009, 33: 17–59
Lewenstein M, Balcou P, Ivanov M Y, et al. Theory of high-harmonic generation by low-frequency laser fields. Phys Rev A, 1994, 49: 2117–2132
Milosevic D B, Ehlotzky F. Coulomb and rescattering effects in above-threshold ionization. Phys Rev A, 1998, 58: 3124–3125
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Ge, Y., He, H. Use of photoelectron energy spectrum transfer equation for the measurement of a narrowband XUV pulse. Chin. Sci. Bull. 57, 843–848 (2012). https://doi.org/10.1007/s11434-011-4943-8
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DOI: https://doi.org/10.1007/s11434-011-4943-8